Machine learning research topics on big and complex data

I am happy to supervise final-year undergraduate projects and master’s theses (Data Science). Below are the research topics. As these topics rely on advanced mathematical and statistical methods, only candidates with a strong background in mathematics or statistics will be considered.

I also welcome PhD enquiries. If you’re interested, please contact me to discuss your research interests so we can shape a different thesis topic. You can view my profile here: https://www.scss.tcd.ie/mimi.zhang/.

Topic 1: Representing fMRI dynamics as symmetric positive-definite (SPD) matrix-valued functions

Build a pipeline that turns fMRI time series into smooth, time-varying SPD matrices (dynamic connectivity) and uses them for analysis/prediction.

Topic 2: Multi-modality data integration and anomaly detection in gas networks

Build an end-to-end pipeline that ingests heterogeneous data from various sources and detect anomalies (e.g., leaks, equipment faults, demand shocks).

Topic 3: Spinal cage design optimization for additive manufacturing

Background is available here: https://advanced.onlinelibrary.wiley.com/doi/full/10.1002/adem.202500421